50267201040000 has 3840 divisors, whose sum is σ = 235024568064000. Its totient is φ = 10039873536000.

The previous prime is 50267201039989. The next prime is 50267201040011. The reversal of 50267201040000 is 4010276205.

50267201040000 is a `hidden beast` number, since 50 + 2 + 6 + 7 + 201 + 0 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50267201039989) and next prime (50267201040011).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63871919607 + ... + 63871920393.

It is an arithmetic number, because the mean of its divisors is an integer number (61204314600).

Almost surely, 2^{50267201040000} is an apocalyptic number.

50267201040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50267201040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117512284032000).

50267201040000 is an abundant number, since it is smaller than the sum of its proper divisors (184757367024000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50267201040000 is a wasteful number, since it uses less digits than its factorization.

50267201040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 50267201040000 in words is "fifty trillion, two hundred sixty-seven billion, two hundred one million, forty thousand".